{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Generating base circular point cloud...\n",
      "Running probability homology simulation...\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x800 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Detailed computation log for σ = 0.3:\n",
      "=== COMPUTATION LOG ===\n",
      "[F/P] = RandomPerturb(σ=0.3) → AlphaComplex(Vietoris-Rips) → H1 Computation\n",
      "Input Points: 50\n",
      "H1 Persistence Diagram: [[0.80600971 0.84770364]\n",
      " [0.52245533 0.64788121]\n",
      " [0.51243061 0.58917874]\n",
      " [0.50619072 0.54289401]\n",
      " [0.49185541 1.22783411]\n",
      " [0.43116888 0.51671219]\n",
      " [0.42086205 0.62388092]\n",
      " [0.3328312  0.48957282]]\n",
      "Result: H1 Rank = 8 (H1 ≅ 0)\n",
      "========================\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "✅ All experiments completed! Figures saved as PNG files.\n",
      "Files generated:\n",
      "- point_cloud_perturbation.png\n",
      "- stability_diagram.png\n",
      "- persistence_diagram_sigma_0.3.png\n",
      "- h1_rank_distribution.png\n"
     ]
    }
   ],
   "source": [
    "# -*- coding: utf-8 -*-\n",
    "\"\"\"\n",
    "Probability Persistent Homology Experiment\n",
    "基于广义映射 A ⊢ B | F/P 的概率同调计算与可视化\n",
    "\"\"\"\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.patches import Circle\n",
    "from scipy.spatial.distance import pdist, squareform\n",
    "from ripser import ripser\n",
    "from persim import plot_diagrams\n",
    "import seaborn as sns\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "\n",
    "# 解决numpy.float的兼容性问题（NumPy 1.20+移除np.float别名，映射为Python内置float）\n",
    "np.float = float\n",
    "\n",
    "# 设置字体和图形样式（保持英文显示兼容性）\n",
    "plt.rcParams['font.sans-serif'] = ['Arial', 'DejaVu Sans', 'Helvetica']\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "sns.set_style(\"whitegrid\")\n",
    "\n",
    "def generate_circle_points(n=50, radius=1.0, noise=0.0):\n",
    "    \"\"\"\n",
    "    生成带噪声的圆环点云\n",
    "    参数:\n",
    "        n: 点的数量\n",
    "        radius: 半径\n",
    "        noise: 噪声标准差\n",
    "    返回:\n",
    "        点云坐标 (n, 2)\n",
    "    \"\"\"\n",
    "    theta = np.linspace(0, 2*np.pi, n)\n",
    "    x = radius * np.cos(theta)\n",
    "    y = radius * np.sin(theta)\n",
    "    # 添加高斯噪声\n",
    "    if noise > 0:\n",
    "        x += np.random.normal(0, noise, n)\n",
    "        y += np.random.normal(0, noise, n)\n",
    "    return np.column_stack([x, y])\n",
    "\n",
    "def compute_h1_rank(diagram):\n",
    "    \"\"\"\n",
    "    计算H1同调群的秩（1维洞的数量）\n",
    "    参数:\n",
    "        diagram: 持久图数据\n",
    "    返回:\n",
    "        H1秩\n",
    "    \"\"\"\n",
    "    # 提取1维同调类（birth, death）对（ripser输出的索引1对应H1）\n",
    "    h1_classes = diagram[1]\n",
    "    # 移除无限持久的类（death为inf）\n",
    "    finite_classes = h1_classes[~np.isinf(h1_classes[:, 1])]\n",
    "    return len(finite_classes)\n",
    "\n",
    "def simulate_probability_homology(base_points, sigma_values, trials=100):\n",
    "    \"\"\"\n",
    "    模拟概率同调：在不同噪声水平下重复实验\n",
    "    参数:\n",
    "        base_points: 原始点云\n",
    "        sigma_values: 噪声标准差列表\n",
    "        trials: 每个噪声水平下的重复次数\n",
    "    返回:\n",
    "        结果字典 {sigma: [h1_ranks]}\n",
    "    \"\"\"\n",
    "    results = {}\n",
    "    for sigma in sigma_values:\n",
    "        ranks = []\n",
    "        for _ in range(trials):\n",
    "            # F操作序列：随机扰动 → Alpha复形 → H1计算\n",
    "            # 步骤1: 随机扰动（添加噪声）\n",
    "            noise = np.random.normal(0, sigma, base_points.shape)\n",
    "            perturbed_points = base_points + noise\n",
    "            \n",
    "            # 步骤2&3: 使用Ripser计算持久同调（Vietoris-Rips复形作为Alpha复形的近似）\n",
    "            result = ripser(perturbed_points, maxdim=1)\n",
    "            diagrams = result['dgms']\n",
    "            \n",
    "            # 步骤4: 计算H1秩\n",
    "            h1_rank = compute_h1_rank(diagrams)\n",
    "            ranks.append(h1_rank)\n",
    "        results[sigma] = ranks\n",
    "    return results\n",
    "\n",
    "# --- 主实验流程 ---\n",
    "\n",
    "# 1. 生成原始点云 (A)\n",
    "print(\"Generating base circular point cloud...\")\n",
    "base_cloud = generate_circle_points(n=50, radius=1.0, noise=0.0)\n",
    "\n",
    "# 2. 定义噪声参数 P = {σ}（σ取值：0.1, 0.2, ..., 0.8）\n",
    "sigma_range = np.round(np.arange(0.1, 0.9, 0.1), 1)\n",
    "\n",
    "# 3. 执行概率同调模拟 (F操作序列)\n",
    "print(\"Running probability homology simulation...\")\n",
    "probability_results = simulate_probability_homology(base_cloud, sigma_range, trials=100)\n",
    "\n",
    "# --- 可视化部分 ---\n",
    "\n",
    "# 图1: 原始点云 + 不同噪声下的样本\n",
    "fig1, axes = plt.subplots(2, 4, figsize=(16, 8))\n",
    "fig1.suptitle(\"Figure 1: Original and Perturbed Point Clouds at Different Noise Levels\", fontsize=16)\n",
    "\n",
    "for idx, sigma in enumerate(sigma_range):\n",
    "    row, col = idx // 4, idx % 4\n",
    "    ax = axes[row, col]\n",
    "    \n",
    "    # 生成一个扰动样本\n",
    "    perturbed = generate_circle_points(n=50, radius=1.0, noise=sigma)\n",
    "    \n",
    "    # 绘制点云（蓝色：原始点云，红色：扰动点云）\n",
    "    ax.scatter(base_cloud[:, 0], base_cloud[:, 1], c='blue', s=30, alpha=0.6, label='Original')\n",
    "    ax.scatter(perturbed[:, 0], perturbed[:, 1], c='red', s=30, alpha=0.8, label=f'Perturbed (σ={sigma})')\n",
    "    \n",
    "    ax.set_xlim(-1.8, 1.8)\n",
    "    ax.set_ylim(-1.8, 1.8)\n",
    "    ax.set_aspect('equal')\n",
    "    ax.legend()\n",
    "    ax.set_title(f'σ = {sigma}')\n",
    "\n",
    "plt.tight_layout()\n",
    "#plt.savefig('point_cloud_perturbation.png', dpi=150, bbox_inches='tight')\n",
    "plt.show()\n",
    "\n",
    "# 图2: σ vs Prob(H1=1) 曲线 (稳定性图)\n",
    "fig2, ax = plt.subplots(figsize=(10, 6))\n",
    "sigmas = list(probability_results.keys())\n",
    "# 计算每个噪声水平下H1秩为1的概率\n",
    "prob_h1_one = [np.mean([1 if r == 1 else 0 for r in ranks]) for ranks in probability_results.values()]\n",
    "\n",
    "ax.plot(sigmas, prob_h1_one, 'o-', linewidth=2, markersize=8, color='purple')\n",
    "ax.set_xlabel('Noise Level (σ)')\n",
    "ax.set_ylabel('Probability of H1 Rank = 1')\n",
    "ax.set_title('Figure 2: Probability of 1D Hole Existence vs. Noise Level')\n",
    "ax.grid(True, alpha=0.3)\n",
    "ax.set_ylim(-0.05, 1.05)\n",
    "\n",
    "# 为每个数据点添加概率数值注释\n",
    "for i, (s, p) in enumerate(zip(sigmas, prob_h1_one)):\n",
    "    ax.annotate(f'{p:.2f}', (s, p), xytext=(5, 5), textcoords='offset points', fontsize=9)\n",
    "\n",
    "#plt.savefig('stability_diagram.png', dpi=150, bbox_inches='tight')\n",
    "plt.show()\n",
    "\n",
    "# 图3: 单次生成过程的详细分析 (操作日志可视化)\n",
    "selected_sigma = 0.3\n",
    "print(f\"\\nDetailed computation log for σ = {selected_sigma}:\")\n",
    "\n",
    "# 执行一次完整计算（选定σ=0.3）\n",
    "perturbed_sample = generate_circle_points(n=50, radius=1.0, noise=selected_sigma)\n",
    "result = ripser(perturbed_sample, maxdim=1)\n",
    "diagrams = result['dgms']\n",
    "\n",
    "# 计算H1秩\n",
    "h1_rank = compute_h1_rank(diagrams)\n",
    "\n",
    "# 打印操作日志\n",
    "print(\"=== COMPUTATION LOG ===\")\n",
    "print(f\"[F/P] = RandomPerturb(σ={selected_sigma}) → AlphaComplex(Vietoris-Rips) → H1 Computation\")\n",
    "print(f\"Input Points: {len(perturbed_sample)}\")\n",
    "print(f\"H1 Persistence Diagram: {diagrams[1]}\")\n",
    "print(f\"Result: H1 Rank = {h1_rank} (H1 ≅ {'ℤ' if h1_rank == 1 else '0'})\")\n",
    "print(\"========================\")\n",
    "\n",
    "# 可视化持久图\n",
    "fig3, ax = plt.subplots(figsize=(8, 8))\n",
    "plot_diagrams(diagrams, ax=ax, show=False)\n",
    "ax.set_title(f'Figure 3: Persistence Diagram (σ = {selected_sigma})\\nH1 Rank = {h1_rank}')\n",
    "#plt.savefig('persistence_diagram_sigma_0.3.png', dpi=150, bbox_inches='tight')\n",
    "plt.show()\n",
    "\n",
    "# 额外: 所有噪声水平下的H1秩分布箱线图\n",
    "fig4, ax = plt.subplots(figsize=(12, 6))\n",
    "data_to_plot = [probability_results[sigma] for sigma in sigmas]\n",
    "ax.boxplot(data_to_plot, labels=[f'σ={s}' for s in sigmas], patch_artist=True)\n",
    "ax.set_xlabel('Noise Level (σ)')\n",
    "ax.set_ylabel('H1 Rank')\n",
    "ax.set_title('Figure 4: Distribution of H1 Ranks Across Noise Levels')\n",
    "ax.set_ylim(-0.5, 2.5)\n",
    "plt.xticks(rotation=45)\n",
    "#plt.savefig('h1_rank_distribution.png', dpi=150, bbox_inches='tight')\n",
    "plt.show()\n",
    "\n",
    "print(\"\\n✅ All experiments completed! Figures saved as PNG files.\")\n",
    "print(\"Files generated:\")\n",
    "print(\"- point_cloud_perturbation.png\")\n",
    "print(\"- stability_diagram.png\")\n",
    "print(\"- persistence_diagram_sigma_0.3.png\")\n",
    "print(\"- h1_rank_distribution.png\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "下面重复100次实验"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Generating base circular point cloud...\n",
      "Running probability homology simulation...\n"
     ]
    },
    {
     "data": {
      "image/png": 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+zwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1600x800 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Detailed computation log for σ = 0.3:\n",
      "=== COMPUTATION LOG ===\n",
      "[F/P] = RandomPerturb(σ=0.3) → AlphaComplex(Vietoris-Rips) → H1 Computation\n",
      "Input Points: 50\n",
      "H1 Persistence Diagram: [[0.6479851  0.69200939]\n",
      " [0.54982769 1.2282505 ]\n",
      " [0.45202699 0.5969671 ]\n",
      " [0.43650943 0.64635617]]\n",
      "Result: H1 Rank = 4 (H1 ≅ 0)\n",
      "========================\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "✅ All experiments completed! Figures saved as PNG files.\n",
      "Files generated:\n",
      "- point_cloud_perturbation.png\n",
      "- stability_diagram.png\n",
      "- persistence_diagram_sigma_0.3.png\n",
      "- h1_rank_distribution.png\n"
     ]
    }
   ],
   "source": [
    "# -*- coding: utf-8 -*-\n",
    "\"\"\"\n",
    "Probability Persistent Homology Experiment\n",
    "基于广义映射 A ⊢ B | F/P 的概率同调计算与可视化\n",
    "\"\"\"\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.patches import Circle\n",
    "from scipy.spatial.distance import pdist, squareform\n",
    "from ripser import ripser\n",
    "from persim import plot_diagrams\n",
    "import seaborn as sns\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "\n",
    "# 解决numpy.float的兼容性问题（NumPy 1.20+移除np.float别名，映射为Python内置float）\n",
    "np.float = float\n",
    "\n",
    "# 设置字体和图形样式（保持英文显示兼容性）\n",
    "plt.rcParams['font.sans-serif'] = ['Arial', 'DejaVu Sans', 'Helvetica']\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "sns.set_style(\"whitegrid\")\n",
    "\n",
    "def generate_circle_points(n=50, radius=1.0, noise=0.0):\n",
    "    \"\"\"\n",
    "    生成带噪声的圆环点云\n",
    "    参数:\n",
    "        n: 点的数量\n",
    "        radius: 半径\n",
    "        noise: 噪声标准差\n",
    "    返回:\n",
    "        点云坐标 (n, 2)\n",
    "    \"\"\"\n",
    "    theta = np.linspace(0, 2*np.pi, n)\n",
    "    x = radius * np.cos(theta)\n",
    "    y = radius * np.sin(theta)\n",
    "    # 添加高斯噪声\n",
    "    if noise > 0:\n",
    "        x += np.random.normal(0, noise, n)\n",
    "        y += np.random.normal(0, noise, n)\n",
    "    return np.column_stack([x, y])\n",
    "\n",
    "def compute_h1_rank(diagram):\n",
    "    \"\"\"\n",
    "    计算H1同调群的秩（1维洞的数量）\n",
    "    参数:\n",
    "        diagram: 持久图数据\n",
    "    返回:\n",
    "        H1秩\n",
    "    \"\"\"\n",
    "    # 提取1维同调类（birth, death）对（ripser输出的索引1对应H1）\n",
    "    h1_classes = diagram[1]\n",
    "    # 移除无限持久的类（death为inf）\n",
    "    finite_classes = h1_classes[~np.isinf(h1_classes[:, 1])]\n",
    "    return len(finite_classes)\n",
    "\n",
    "def simulate_probability_homology(base_points, sigma_values, trials=100):\n",
    "    \"\"\"\n",
    "    模拟概率同调：在不同噪声水平下重复实验\n",
    "    参数:\n",
    "        base_points: 原始点云\n",
    "        sigma_values: 噪声标准差列表\n",
    "        trials: 每个噪声水平下的重复次数\n",
    "    返回:\n",
    "        结果字典 {sigma: [h1_ranks]}\n",
    "    \"\"\"\n",
    "    results = {}\n",
    "    for sigma in sigma_values:\n",
    "        ranks = []\n",
    "        for _ in range(trials):\n",
    "            # F操作序列：随机扰动 → Alpha复形 → H1计算\n",
    "            # 步骤1: 随机扰动（添加噪声）\n",
    "            noise = np.random.normal(0, sigma, base_points.shape)\n",
    "            perturbed_points = base_points + noise\n",
    "            \n",
    "            # 步骤2&3: 使用Ripser计算持久同调（Vietoris-Rips复形作为Alpha复形的近似）\n",
    "            result = ripser(perturbed_points, maxdim=1)\n",
    "            diagrams = result['dgms']\n",
    "            \n",
    "            # 步骤4: 计算H1秩\n",
    "            h1_rank = compute_h1_rank(diagrams)\n",
    "            ranks.append(h1_rank)\n",
    "        results[sigma] = ranks\n",
    "    return results\n",
    "\n",
    "# --- 主实验流程 ---\n",
    "\n",
    "# 1. 生成原始点云 (A)\n",
    "print(\"Generating base circular point cloud...\")\n",
    "base_cloud = generate_circle_points(n=50, radius=1.0, noise=0.0)\n",
    "\n",
    "# 2. 定义噪声参数 P = {σ}（σ取值：0.1, 0.2, ..., 0.8）\n",
    "sigma_range = np.round(np.arange(0.1, 0.9, 0.1), 1)\n",
    "\n",
    "# 3. 执行概率同调模拟 (F操作序列)\n",
    "print(\"Running probability homology simulation...\")\n",
    "probability_results = simulate_probability_homology(base_cloud, sigma_range, trials=100)\n",
    "\n",
    "# --- 可视化部分 ---\n",
    "\n",
    "# 图1: 原始点云 + 不同噪声下的样本\n",
    "fig1, axes = plt.subplots(2, 4, figsize=(16, 8))\n",
    "fig1.suptitle(\"Figure 1: Original and Perturbed Point Clouds at Different Noise Levels\", fontsize=16)\n",
    "\n",
    "for idx, sigma in enumerate(sigma_range):\n",
    "    row, col = idx // 4, idx % 4\n",
    "    ax = axes[row, col]\n",
    "    \n",
    "    # 生成一个扰动样本\n",
    "    perturbed = generate_circle_points(n=50, radius=1.0, noise=sigma)\n",
    "    \n",
    "    # 绘制点云（蓝色：原始点云，红色：扰动点云）\n",
    "    ax.scatter(base_cloud[:, 0], base_cloud[:, 1], c='blue', s=30, alpha=0.6, label='Original')\n",
    "    ax.scatter(perturbed[:, 0], perturbed[:, 1], c='red', s=30, alpha=0.8, label=f'Perturbed (σ={sigma})')\n",
    "    \n",
    "    ax.set_xlim(-1.8, 1.8)\n",
    "    ax.set_ylim(-1.8, 1.8)\n",
    "    ax.set_aspect('equal')\n",
    "    ax.legend()\n",
    "    ax.set_title(f'σ = {sigma}')\n",
    "\n",
    "plt.tight_layout()\n",
    "#plt.savefig('point_cloud_perturbation.png', dpi=150, bbox_inches='tight')\n",
    "plt.show()\n",
    "\n",
    "# 图2: σ vs Prob(H1=1) 曲线 (稳定性图)\n",
    "fig2, ax = plt.subplots(figsize=(10, 6))\n",
    "sigmas = list(probability_results.keys())\n",
    "# 计算每个噪声水平下H1秩为1的概率\n",
    "prob_h1_one = [np.mean([1 if r == 1 else 0 for r in ranks]) for ranks in probability_results.values()]\n",
    "\n",
    "ax.plot(sigmas, prob_h1_one, 'o-', linewidth=2, markersize=8, color='purple')\n",
    "ax.set_xlabel('Noise Level (σ)')\n",
    "ax.set_ylabel('Probability of H1 Rank = 1')\n",
    "ax.set_title('Figure 2: Probability of 1D Hole Existence vs. Noise Level')\n",
    "ax.grid(True, alpha=0.3)\n",
    "ax.set_ylim(-0.05, 1.05)\n",
    "\n",
    "# 为每个数据点添加概率数值注释\n",
    "for i, (s, p) in enumerate(zip(sigmas, prob_h1_one)):\n",
    "    ax.annotate(f'{p:.2f}', (s, p), xytext=(5, 5), textcoords='offset points', fontsize=9)\n",
    "\n",
    "#plt.savefig('stability_diagram.png', dpi=150, bbox_inches='tight')\n",
    "plt.show()\n",
    "\n",
    "# 图3: 单次生成过程的详细分析 (操作日志可视化)\n",
    "selected_sigma = 0.3\n",
    "print(f\"\\nDetailed computation log for σ = {selected_sigma}:\")\n",
    "\n",
    "# 执行一次完整计算（选定σ=0.3）\n",
    "perturbed_sample = generate_circle_points(n=50, radius=1.0, noise=selected_sigma)\n",
    "result = ripser(perturbed_sample, maxdim=1)\n",
    "diagrams = result['dgms']\n",
    "\n",
    "# 计算H1秩\n",
    "h1_rank = compute_h1_rank(diagrams)\n",
    "\n",
    "# 打印操作日志\n",
    "print(\"=== COMPUTATION LOG ===\")\n",
    "print(f\"[F/P] = RandomPerturb(σ={selected_sigma}) → AlphaComplex(Vietoris-Rips) → H1 Computation\")\n",
    "print(f\"Input Points: {len(perturbed_sample)}\")\n",
    "print(f\"H1 Persistence Diagram: {diagrams[1]}\")\n",
    "print(f\"Result: H1 Rank = {h1_rank} (H1 ≅ {'ℤ' if h1_rank == 1 else '0'})\")\n",
    "print(\"========================\")\n",
    "\n",
    "# 可视化持久图\n",
    "fig3, ax = plt.subplots(figsize=(8, 8))\n",
    "plot_diagrams(diagrams, ax=ax, show=False)\n",
    "ax.set_title(f'Figure 3: Persistence Diagram (σ = {selected_sigma})\\nH1 Rank = {h1_rank}')\n",
    "#plt.savefig('persistence_diagram_sigma_0.3.png', dpi=150, bbox_inches='tight')\n",
    "plt.show()\n",
    "\n",
    "# 额外: 所有噪声水平下的H1秩分布箱线图\n",
    "fig4, ax = plt.subplots(figsize=(12, 6))\n",
    "data_to_plot = [probability_results[sigma] for sigma in sigmas]\n",
    "ax.boxplot(data_to_plot, labels=[f'σ={s}' for s in sigmas], patch_artist=True)\n",
    "ax.set_xlabel('Noise Level (σ)')\n",
    "ax.set_ylabel('H1 Rank')\n",
    "ax.set_title('Figure 4: Distribution of H1 Ranks Across Noise Levels')\n",
    "ax.set_ylim(-0.5, 2.5)\n",
    "plt.xticks(rotation=45)\n",
    "#plt.savefig('h1_rank_distribution.png', dpi=150, bbox_inches='tight')\n",
    "plt.show()\n",
    "\n",
    "print(\"\\n✅ All experiments completed! Figures saved as PNG files.\")\n",
    "print(\"Files generated:\")\n",
    "print(\"- point_cloud_perturbation.png\")\n",
    "print(\"- stability_diagram.png\")\n",
    "print(\"- persistence_diagram_sigma_0.3.png\")\n",
    "print(\"- h1_rank_distribution.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "近似同调"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1500x600 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "=== APPROXIMATE HOMOLOGY GENERATION LOG ===\n",
      "A: Ideal Circle\n",
      "B: H1 ≅ ℤ\n",
      "F/P: [CoarseSample(n) → Ripser → H1] for n ∈ [10, 20, 30, 40, 50, 60, 70, 80, 90, 100]\n",
      "Results:\n",
      "  n=10 → H1 Rank = 1 ✅\n",
      "  n=20 → H1 Rank = 1 ✅\n",
      "  n=30 → H1 Rank = 1 ✅\n",
      "  n=40 → H1 Rank = 1 ✅\n",
      "  n=50 → H1 Rank = 1 ✅\n",
      "  n=60 → H1 Rank = 1 ✅\n",
      "  n=70 → H1 Rank = 1 ✅\n",
      "  n=80 → H1 Rank = 1 ✅\n",
      "  n=90 → H1 Rank = 1 ✅\n",
      "  n=100 → H1 Rank = 1 ✅\n",
      "===========================================\n"
     ]
    }
   ],
   "source": [
    "# -*- coding: utf-8 -*-\n",
    "\"\"\"\n",
    "Approximate Homology via Coarse Sampling\n",
    "验证 GMT 理论表达“近似同调”的生成过程：A ⊢ B | F/P\n",
    "F = [CoarseSample → Compute H1]\n",
    "P = 采样点数 n\n",
    "\"\"\"\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from ripser import ripser\n",
    "import seaborn as sns\n",
    "\n",
    "# 设置图形样式\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "sns.set_style(\"whitegrid\")\n",
    "\n",
    "def generate_circle_points(n, radius=1.0):\n",
    "    \"\"\"生成 n 个点的圆环\"\"\"\n",
    "    theta = np.linspace(0, 2*np.pi, n, endpoint=False)\n",
    "    x = radius * np.cos(theta)\n",
    "    y = radius * np.sin(theta)\n",
    "    return np.column_stack([x, y])\n",
    "\n",
    "def compute_h1_rank(diagram):\n",
    "    \"\"\"计算 H1 秩\"\"\"\n",
    "    h1_classes = diagram[1]\n",
    "    finite_classes = h1_classes[~np.isinf(h1_classes[:, 1])]\n",
    "    return len(finite_classes)\n",
    "\n",
    "# --- 定义 A, P, F ---\n",
    "A = \"Ideal Circle\"  # 理想圆环\n",
    "P = list(range(10, 101, 10))  # 采样点数：从10到100\n",
    "F = \"CoarseSample(n) → Ripser(maxdim=1) → H1\"\n",
    "\n",
    "# --- 执行 F/P：对每个 n 计算 H1 ---\n",
    "results = {}\n",
    "for n in P:\n",
    "    points = generate_circle_points(n)\n",
    "    dgms = ripser(points, maxdim=1)['dgms']\n",
    "    h1_rank = compute_h1_rank(dgms)\n",
    "    results[n] = h1_rank\n",
    "\n",
    "# --- 可视化 1：不同采样密度下的点云 ---\n",
    "fig1, axes = plt.subplots(2, 5, figsize=(15, 6))\n",
    "axes = axes.flatten()\n",
    "\n",
    "for i, n in enumerate(P):\n",
    "    ax = axes[i]\n",
    "    points = generate_circle_points(n)\n",
    "    ax.scatter(points[:, 0], points[:, 1], c='blue', s=20)\n",
    "    ax.set_xlim(-1.2, 1.2)\n",
    "    ax.set_ylim(-1.2, 1.2)\n",
    "    ax.set_aspect('equal')\n",
    "    ax.set_title(f'n = {n}, H1 = {results[n]}')\n",
    "    ax.axis('off')\n",
    "\n",
    "fig1.suptitle(\"Figure 1: Coarse Sampling of Circle (Approximate Representation)\")\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# --- 可视化 2：H1 Rank vs 采样密度 ---\n",
    "fig2, ax = plt.subplots(figsize=(8, 5))\n",
    "ns = list(results.keys())\n",
    "ranks = list(results.values())\n",
    "ax.plot(ns, ranks, 'o-', color='green')\n",
    "ax.axhline(1, color='red', linestyle='--', alpha=0.5, label='True H1 Rank (ℤ)')\n",
    "ax.set_xlabel('Number of Sample Points (n)')\n",
    "ax.set_ylabel('H1 Rank')\n",
    "ax.set_title('Figure 2: H1 Stability under Coarse Approximation')\n",
    "ax.legend()\n",
    "ax.grid(True, alpha=0.3)\n",
    "plt.show()\n",
    "\n",
    "# --- 输出日志：F/P 生成路径 ---\n",
    "print(\"=== APPROXIMATE HOMOLOGY GENERATION LOG ===\")\n",
    "print(f\"A: Ideal Circle\")\n",
    "print(f\"B: H1 ≅ ℤ\")\n",
    "print(f\"F/P: [CoarseSample(n) → Ripser → H1] for n ∈ {P}\")\n",
    "print(\"Results:\")\n",
    "for n, rank in results.items():\n",
    "    print(f\"  n={n:2d} → H1 Rank = {rank} {'✅' if rank == 1 else '❌'}\")\n",
    "print(\"===========================================\")"
   ]
  },
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   "outputs": [],
   "source": []
  }
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